Question

Из двух посёлков навстречу друг другу отправились два лыжника со скоростью 6 км/ч. один вышел на 2 часа раньше другого. через 3 часа после выхода второго лыжника они встретились. какое расстояние между посёлками? СРОЧНО! ПОЖАЛУЙСТА!

Answer 1

(6×2)+(12×3)=48
Ответ:48

Answer 2

Problem Analysis

We have two skiers who start from two different villages and meet each other after a certain amount of time. We are given that both skiers are traveling at a speed of 6 km/h, and one of them starts 2 hours earlier than the other. We need to find the distance between the two villages.

Solution

Let's assume that the second skier starts at time t = 0. Therefore, the first skier starts at time t = 2.

We can calculate the distance traveled by each skier using the formula: distance = speed * time.

The distance traveled by the first skier is 6 km/h * (t + 2) hours, and the distance traveled by the second skier is 6 km/h * t hours.

We are given that the skiers meet after 3 hours from the time the second skier starts. Therefore, the total distance traveled by both skiers is equal to the distance between the two villages.

Let's calculate the distance between the villages using the given information.

Calculation

The distance traveled by the first skier is 6 km/h * (t + 2) hours.

The distance traveled by the second skier is 6 km/h * t hours.

The total distance traveled by both skiers is equal to the distance between the villages.

After 3 hours from the time the second skier starts, they meet.

Therefore, the equation becomes:

6 km/h * (t + 2) hours + 6 km/h * t hours = distance

Simplifying the equation:

12 km/h * t + 12 km = distance

After 3 hours from the time the second skier starts, they meet. Therefore, t = 3.

Substituting t = 3 into the equation:

12 km/h * 3 + 12 km = distance

36 km + 12 km = distance

48 km = distance

Answer

The distance between the two villages is 48 kilometers.

Explanation

The two skiers are traveling at a speed of 6 km/h. One of them starts 2 hours earlier than the other. After 3 hours from the time the second skier starts, they meet. By calculating the distance traveled by each skier and summing them up, we find that the distance between the two villages is 48 kilometers.